The Dirichlet problem in weighted spaces and some uniqueness theorems for harmonic functions

DOI10.1007/s10958-011-0235-8zbMath1220.31001OpenAlexW1997334541MaRDI QIDQ549507

H. M. Hayrapetyan

Publication date: 18 July 2011

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-011-0235-8

zbMATH Keywords

Dirichlet problemdiskharmonic functionhalf-plane

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in two dimensions (31A05)

Related Items (1)

The {D}irichlet problem in weighted norm

Cites Work

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• Hilbert boundary value problem in the half-plane for weighted spaces
• The method of Cauchy-type integrals in discontinuous boundary value problems of the theory of holomorphic functions of a complex variable
• The Riemann boundary problem in spaces with a weight that admits singularities.
• Weighted norm inequalities for some classes of singular integrals
• Weighted Norm Inequalities for the Conjugate Function and Hilbert Transform
• Summability of Fourier Series in L p (dμ)

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